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Finding the Third Proportional to 216,423 and 472,212

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Solution

The third proportional to 216,423 and 472,212 is: 1,030,316.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,423 : 472,212 = 472,212 : x
  2. Step 2: Convert to fraction form
    216,423/472,212 = 472,212/x
  3. Step 3: Cross multiply
    216,423x = 472,212 × 472,212
  4. Step 4: Simplify right side
    216,423x = 222,984,172,944
  5. Step 5: Solve for x
    x = 222,984,172,944/216,423
  6. Step 6: Final answer
    x = 1,030,316.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.